11
Q:

In an election only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent  thus he secured 41% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total votes casted is:

A) 47.5% B) 41%
C) 38% D) 45%

Answer:   D) 45%

Explanation:

Let there be x voters and k votes goes to loser then 

      0.8x - 120 = k + (k + 200)

         k+200 = 0.41x

        \inline \Rightarrow  k = 1440

and  (k + 200) =1640

Therefore  \inline \frac{1440}{3200}\times 100 = 45%

Q:

The ratio of earnings of A and B is 4:5. If the earnings of A increase by 20% and the earnings of B decrease by 20%, the new ratio of their earnings becomes 6:5. What are A's earnings?

A) Rs.22,000 B) Rs.27,500
C) Rs. 26,400 D) Cannot be determined
 
Answer & Explanation Answer: D) Cannot be determined

Explanation:
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55 1834
Q:

If the length of a rectangle is increased by 10% and the area is unchanged , then its corresponding breadth must be decreased by?

Answer

Suppose length = 100m and breadth = x m


Area = 100 m


New length = 110m and breadth = (x-y% of x)


Then, \inline 110\times (x-\frac{y}{100}x)=100\times x


\inline \Rightarrow \inline 110\times (1-\frac{y}{100})=100


\inline \Rightarrow \inline 1-\frac{y}{100}=\frac{100}{110}


\inline \Rightarrow \frac{y}{100}=1-\frac{100}{110}=\frac{1}{11}


\inline y=\frac{100}{11}=9\frac{1}{10}%

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49 1822
Q:

The tax on an article decreases by 10% and its consumption increases by 10%. Find the effect percent on its revenue?

Answer

10 - 10 - \inline \frac{10\times 10}{100}= -1% %


\inline \therefore Decrease in revenue = 1%

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11 792
Q:

From a salary of an officer, 10% is deducted as house rent, 15% of the rest he spend on children's education and 10% of the balance he spends on clothes. Then, he is left with Rs. 4131. Find his total salary?

Answer

Suppose his total salary be Rs.x, then 


90% of 85% of 90% of x = 4131


\inline \Rightarrow \frac{90}{100}\times \frac{85}{100}\times \frac{90}{100}\times x=4131


\inline \therefore x=\frac{4131\times 100\times 100\times 100}{90\times 85\times 90}=6000


Hence , the salary of the officer is Rs.6000

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16 2066
Q:

In an election, there were two candidates only. The candidate who got 62% of the total votes polled and was elected by a majority of 192 votes. The total number of votes polled was?

Answer

Suppose total votes polled is x


\inline \Rightarrow \inline \frac{62x}{100}=\frac{38x}{100}+192


\inline \Rightarrow \frac{62x}{100}-\frac{38x}{100}=192


\inline \Rightarrow \frac{24x}{100}=192\Rightarrow x=800

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36 1309